You are a chemical engineer in a polyvinyl chloride (PVC) glove production plant. Due to the increasing production in the production plant to cater for the higher product demand in the market, the plant manager has decided to expand the plant's storage capacity by constructing a new storage tank. The new cylindrical storage tank is to be designed fully enclosed with a maximum storage capacity of 1000 metric tons of raw material. You are being assigned to propose the dimension of the storage tank in order to save the cost of the construction material which is RM 100 per m. The density of the raw material is 2 g/cm and the thickness of the vessel can be assumed to be constant. Please provide the optimum dimension and the relevant cost required for the construction material of the new storage tank. (15 marks)